Submission

Revision submitted

1. Fully explicit numerical method for the incompressible Navier-Stokes equation (20250806) Junxiang Yang, Yibao Li, Chaeyoung Lee, Yongho Choi, Hyundong Kim, Junseok Kim, submitted, International Journal for Numerical Methods in Fluids, 2026.
2. The time-fractional phase-field model for shape transformation (20251125)  Jilong He, Junseok Kim, submitted, Communications in Nonlinear Science and Numerical Simulation, 2026.
3. Numerical​ ​Solution​ ​of​ ​the​ ​Landau–Lifshitz–Gilbert​ ​Equation​ ​Using​ ​Fourier​ ​Collocation​ ​Method … Moumni Mohammed, Ouhraichou Hicham, Junseok Kim, submitted, Journal​ ​of​ ​Mathematical​ ​Study​, 2026.
4. A time-fractional diffusion model with normalization and short memory effect (20250920) Junxiang Yang, Seokjun Ham, Soobin Kwak, Yunjae Nam, Zhengang Li, Xinpei Wu, Juho Ma, Junseok Kim, submitted, Communications​ ​in​ ​Computational​ ​Physics, 2026.
5. Curvature-dependent area preserving immersed boundary method for binary immiscible fluids (20250602) Haobo Hua, Pu Han, Huan Han, Seunggyu Lee, Hyundong Kim, Junseok Kim, submitted, Theoretical​ ​and​ ​Computational​ ​Fluid​ ​Dynamics, 2026.
6. Energy-Stable and L2/H1-Stable BDF2 Viscosity Splitting Method for the Penalized Incompressible Navier–Stokes Equations (20250718) Junxiang Yang, Yibao Li, Junseok Kim, submitted, ​Journal of Computational Physics, 2026.​
7. Traveling​ ​wave​ ​solutions​ ​for​ ​a​ ​normalized​ ​time-fractional​ ​predator-prey​ ​model (20251030, Jan 2) Seokjun​ ​Ham, ​Soobin​ ​Kwak,​ ​Ana​ ​Yun,​ ​Jyoti​ ​-,​ ​Yunjae​ ​Nam,​ ​Junseok​ ​Kim, submitted,  ​​​Indian​ ​Journal​ ​of​ ​Physics, 2026.
8. A positivity-preserving numerical method for the ternary Allen-Cahn equation (20250514) Soobin Kwak, Seokjun Ham, Junseok Kim, submitted, Mathematical Methods in the Applied Sciences, 2026.
9. A cell structure implementation of the multigrid method for the three-dimensional diffusion equation (20251016) Youngjin Hwang, Soobin Kwak, Jyoti, Hyunho Shin, Xinpei Wu, Junseok Kim, submitted, ​International Journal of Computer Mathematics, 2026.
10. A numerical method for the 3D nonlocal Cahn-Hilliard equation with a space-dependent parameter (20251228) Xinpei Wu, Juho Ma, Junseok Kim, submitted, Advances​ ​in​ ​Applied​ ​Mathematics​ ​and​ ​Mechanics​, 2026.
11. An​ ​efficient​ ​and​ ​accurate​ ​adaptive​ ​time-stepping​ ​method​ ​for​ ​the​ ​Allen-Cahn​ ​equation (20250728, Jan 29 2026) Hyundong Kim, Juho Ma, Hyunho Shin, Junseok Kim, submitted, Computers and Mathematics with Applications, 2026.
12. A Fourier spectral method for normalized time-fractional diffusion equations in two and three dimensions (20251225) Ke Zhang, Seungjae Lee, Xinpei Wu, Meiyun Nan, Junseok Kim, submitted, ​Electronic Research Archive, 2026.

In revision

1. Turing instability and complex pattern evolution of a Gierer-Meinhardt model (20251218) Mengxin Chen, Xue-Zhi Li, Junseok Kim, Zhi Ling, Canrong Tian, submitted, Nonlinear​ ​Dynamics, 2026.
2. Modeling and numerical simulation of the normalized time-fractional Navier–Stokes equations (20251019, Apr 07, 2026) Jian Wang, Lin Wu, Yu Wang, Runqiao Peng, Junseok Kim, submitted, ​Journal of Computational Physics, 2026.
3. A multigrid solver for the Allen-Cahn equation on a virtual cubic surface (20251202, Feb​ ​24,​ ​2026​) Junxiang Yang, Soobin Kwak, Seokjun Ham, Youngjin Hwang, Hyundong Kim, Juho Ma, Junseok Kim, submitted, Applied​ ​Numerical​ ​Mathematics, 2026.

Submitted

1. An​ ​unconditionally​ ​stable​ ​scheme​ ​for​ ​the​ ​Modica–Mortola​ ​equation​ ​with​ ​a​ ​variable​ ​interfacial​ ​parameter (20250712) Seokjun Ham, Junxiang Yang, Youngjin Hwang, Junseok Kim, submitted, Communications on Applied Mathematics and Computation, 2026.
2. Numerical investigation of reverse equity-linked securities (20250704) Yunjae Nam, Jian Wang, Hyundong Kim, Soobin Kwak, Minjoon Bang, Zhengang Li, Junseok Kim, submitted, Computational​ ​Economics, 2026.
3. Review of the conservative Allen-Cahn equations (20250708) Youngjin Hwang, Jyoti, Juho Ma, Yunjae Nam, Junseok Kim, submitted,  ​​Engineering Analysis with Boundary Elements, 2026.
4. An efficient finite volume lattice Boltzmann method on nonuniform triangular meshes for curved surfaces (20250710) Youngjin Hwang, Soobin Kwak, Seokjun Ham, Junseok Kim, submitted, Engineering​ ​with​ ​Computers, 2026.
5. A second-order unconditionally energy stable scheme for the Lifshitz-Petrich model integrated with observed data (20250726) ​Xiaochuan​ ​Hu, Junseok Kim, Yibao Li, submitted,  ​​Applied Mathematics and Computation, 2026.
6. An unconditional energy stable numerical scheme for fluid-surfactant system with data assimilation method (20250812) Xiaochuan Hu, Xin Song, Qing Xia, Junseok Kim, Yibao Li, submitted, ​Computational​ ​and​ ​Applied​ ​Mathematics, 2026.
7. Changes​ ​in​ ​Global​ ​Trade​ ​Centers:​ ​Based​ ​on​ ​a​ ​Visual​ ​Assessment​ ​Method (20250818) Jian​ ​Wang;​ ​Haixiao​ ​Wang;​ ​Wei​ ​Shao;​ ​Jie​ ​Chen;​ ​Shanshan​ ​Ge;​ ​Junseok​ ​Kim, submitted,  ​​Chaos: An Interdisciplinary Journal of Nonlinear Science, 2026.
8. Reconstructing initial conditions through inverse problems in normalized time-fractional diffusion equations (20250919) Soobin Kwak, Sangkwon Kim, Junseok Kim, submitted, ​Communications in Nonlinear Science and Numerical Simulation, 2026.
9. An efficient algorithm for Swift-Hohenberg pattern formation on evolving surfaces (20251008) Yibao Li, An Huang, Junseok Kim, submitted, Computers and Mathematics with Applications, 2026.
10. A modified ensemble Kalman filter method with an adaptive ensemble strategy for multiphase flow systems (20251010) Zihan Wang, Wenxuan Xie, Junseok Kim, Yibao Li, submitted, ​Journal of Computational Physics, 2026.
11. Unconditionally​ ​maximum​ ​bound​ ​principle​ ​preserving​ ​algorithm​ ​for​ ​the​ ​3D​ ​Allen–Cahn​ ​equation​ ​with​ ​a​ ​time-dependent​ ​logarithmic​ ​potential (20251019, cfdkim) Sangkwon Kim, Juho Ma, Ke Zhang, Soobin Kwak, Junseok Kim, submitted, ​Advances​ ​in​ ​Computational​ ​Mathematics, 2026.
12. The normalized time–fractional FitzHugh–Nagumo reaction–diffusion equation (20251029) Serdal Yazıcı, Bayram Cekim, Junseok Kim, submitted, Physica A: Statistical Mechanics and its Applications, 2026.
13. Numerical Analysis for the Normalized Time-Fractional Modica–Mortola Functional (20251030, 억셉 될 경우 연구비지원 300) Zhengang Li, Soobin Kwak, Xinpei Wu, Juho Ma, Qunzhi Jin, Junseok Kim, Numerical Functional Analysis and Optimization, 2026.
14. A practical algorithm for image inpainting based on a predator-prey model (20251030) Jian Wang, Mengyu Luo, Junseok Kim, submitted, Communications in Nonlinear Science and Numerical Simulation, 2026.
15. Optimal calibration of the temporally varying volatility function (20251102) Jian Wang, Youngjin Hwang, Hyundong Kim, Soobin Kwak, Junseok Kim, submitted, ​​International Review of Finance, 2026.​
16. An efficient numerical scheme on nonuniform grids for a normalized time-fractional Black–Scholes equation (20251103, cfdkim, 억셉 될 경우 연구비지원 300) Zhengang Li, Yunjae Nam, Juho Ma, Youngjin Hwang, Junseok Kim, submitted, Computational​ ​and​ ​Applied​ ​Mathematics, 2026.
17. A​ ​numerical​ ​analysis​ ​of​ ​the​ ​normalized​ ​time-fractional​ ​Keller–Segel​ ​equations (20251122) Chaeyoung​ ​Lee,​ ​Ana​ ​Yun, ​Darae​ ​Jeong,​ ​Yibao​ ​Li,​ ​Juho​ ​Ma,​ ​Yunjae​ ​Nam,​ ​Junseok​ ​Kim, submitted, Advances​ ​in​ ​Continuous​ ​and​ ​Discrete​ ​Models:​ ​Theory​ ​and​ ​Applications, 2025.
18. An adaptive numerical method for solving the Allen-Cahn equation on curved surfaces (20251129) Hyundong Kim, Qunzhi Jin, Xinpei Wu, Soobin Kwak, Zhengang Li, Junseok Kim, submitted, Journal of Computational and Applied Mathematics, 2026.
19. Reconstructing the quadratic local volatility surface for European options (20251209) Yunjae Nam, Daeun Jeong, Hyundong Kim, Minjoon Bang, Changwoo Yoo, Junseok Kim, submitted, ​International​ ​Journal​ ​of​ ​Applied​ ​and​ ​Computational​ ​Mathematics, 2026.
20. Performance​ ​assessment​ ​of​ ​numerical​ ​methods​ ​for​ ​solving​ ​the​ ​Allen-Cahn​ ​equation (20251215) Seokjun Ham, Juho Ma, Zhengang Li, Xinpei Wu, Yunjae Nam, Junseok Kim, submitted, Korean Journal of Mathematics, 2026.
21. Normalized time-fractional predator–prey model with landscape features (20251222, 억셉 될 경우 연구비지원 300) Xinpei Wu, Soobin Kwak, Juho Ma, Junseok Kim, submitted, ​Journal of Computational Mathematics, 2026.
22. Practical volume merging method for triply periodic minimal structures (20251224) Seungyoon Kang, Yibao Li, Soobin Kwak, Yongho Choi, Junseok Kim, submitted, ​Computer Methods in Biomechanics and Biomedical Engineering, 2026.
23. Practical​​ ​Geometric​ ​Feature​ ​Preserved​ ​Denoising​ ​Algorithm (20251230) Wang,​ ​Jian;​ ​Wang,​ ​Haixiao;​ ​Ge,​ ​Shanshan;​ ​Jiang,​ ​Chenhua;​ ​Kim,​ ​Junseok, submitted, Transactions on Graphics, 2026.
24. Stability, bifurcation and high-dimensional Turing pattern of a diffusive pine wilt disease system (20260102) Mengxin Chen, Xue-Zhi Li, Junseok Kim, submitted,  ​​​Chaos, Solitons and Fractals, 2026.
25. A​ ​stable​ ​explicit​ ​second-order​ ​finite​ ​difference​ ​scheme​ ​for​ ​solving​ ​the​ ​Allen–Cahn​ ​equation (20260103) Soobin Kwak, Juho Ma, Junwon Ko, Meiyun Nan, Zhengang Li, Xinpei Wu, Junseok Kim, submitted, Applied Mathematics and Computation, 2026.
26. Multi material stress-constrained topology optimization based on the phase field method (20260106) Wenxuan Xie, Zhuoheng Wang, Junseok Kim, Yibao Li, submitted, Communications in Nonlinear Science and Numerical Simulation, 2026.
27. An unconditionally stable denoising algorithm on non-uniform grids (20260106, ​cfdkim)  Jian Wang, Shanshan Ge, Junseok Kim, submitted, International​ ​Journal​ ​of​ ​Computer​ ​Vision, 2026.
28. A third-order temporal accurate and unconditionally stable Runge-Kutta scalar auxiliary variable method for the modified phase field crystal model (20260109) Xiaochuan Hu, Yibao Li, Sijing Lai, Zhixian Lv, Wenxuan Xie, Junseok Kim, submitted, ​Journal of Computational Physics, 2026.
29. 3D models of Voronoi-based hollow and lattice structures in complex domains: geometric construction and hydrodynamic analysis (20260112) Jian Wang, Qin Liu, Junseok Kim, submitted, Computer-Aided Design, 2026.
30. Microstructural evolution prediction in the phase field crystal model with VAE-LSTM and ensemble kalman filtering (20260115)  Jiachen Feng, Wenxuan Xie, Zhixian Lv, Qing Xi, Junseok Kim, Yibao Li , submitted, Communications in Nonlinear Science and Numerical Simulation, 2026.
31. Modeling and simulation of the normalized time-fractional nonlocal Cahn-Hilliard equation (20260119) Seungyoon Kang, Xinpei Wu, Seungjae Lee, Junseok Kim, Mathematics​ ​and​ ​Computers​ ​in​ ​Simulation, 2026.
32. Image​ ​Inpainting​ ​with​ ​the​ ​Allen-Cahn​ ​Equation​ ​Incorporating​ ​High-Order​ ​Polynomial​ ​Potentials (20260120) Jian Wang, Shanshan Ge, Keyong Chen, Ziwei Han, Junseok Kim, submitted, Pattern Recognition, 2026.
33. Region-aware Chest X-ray Bone Suppression using PDE-guided GAN (20250122) Yunseong Cho, Young Kim, Keunhoo Kim, Junseok Kim, Seungsang Oh, Sangjun Lee, Subin Bae, Dongkyu Lee, Sangkwon Kim, submitted, Pattern Recognition, 2026.
34. Reconstruction of convexity-preserving local volatility functions (20260124) Sangkwon Kim, Jian Wang, Soobin Kwak, Hyundong Kim, Yunjae Nam, Junseok Kim, submitted, Mathematical​ ​Methods​ ​of​ ​Operations​ ​Research, 2026.
35. An efficient adaptive time-step method for a normalized time-fractional SIR model with demographic processes (20260129) Chaeyoung Lee, Meiyun Nan, Xinpei Wu, Junseok Kim, submitted, Numerical Algorithms, 2025.

Applied Mathematics Letters: 2026년 7월 부터 논문 제출 가능

Applied​ ​Numerical​ ​Mathematics: 한 달에 분야 별 최대 5편까지 제출 가능 저널

Applied Mathematics and Computation: 유사도 1% 초과하면 데스크 리젝됨

Journal​ ​of​ ​Applied​ ​Mathematics​ ​and​ ​Computing: Scope가 안 맞음, 논문 제출 X

In preparation

1. Numerical simulation of unconditionally stable normalized fractional Gray-Scott equation (20260122) Jian Wang, Yu Wang, Runqiao Peng, Lin Wu Junseok Kim, submitted, Expert Systems With Applications, 2026.
2. A geometric multigrid implementation for solving the three-dimensional Cahn-Hilliard equation (20251224) Youngjin Hwang, Junseok Kim, submitted, Journal, 2025.
3. Maximum​ ​principle-preserving​ ​explicit​ ​scheme​ ​for​ ​the​ ​conservative​ ​Allen–Cahn​ equation (20250806) Youngjin Hwang, Junseok Kim, submitted, Mathematical Methods in the Applied Sciences, 2026.
4. A data classification using a modified Allen-Cahn equation with a mesh size-dependent interfacial parameter and variable mobility on a triangular mesh (20250715) Seokjun Ham, Junxiang Yang, Jian Wang, Soobin Kwak, Yunjae Nam, Junseok Kim, submitted, ​Simulation Modelling Practice and Theory, 2025.
5. A direct and simple metric for evaluating researchers’ impact on the global scholarly  communities (20241127) Jian Wang, Menghao Huang, Youngjin Hwang, Seungyoon Kang, Junseok Kim, submitted, Advances​ ​in​ ​Complex​ ​Systems, 2025.
6. Binary classification of noisy and imbalanced data using a high-order Allen-Cahn equation with a fidelity term (20250623) Sangkwon Kim, Youngjin Hwang, Junseok Kim, submitted, Applied Soft Computing, 2025.
7. Classification of N-component data using the vector-valued Allen–Cahn equations (20250625) Sangkwon Kim, Hyun Geun Lee, Youngjin Hwang, Soobin Kwak, Seokjun Ham, Junseok Kim, submitted, Communications​ ​in​ ​Applied​ ​Mathematics​ ​and​ ​Computational​ ​Science, 2025.
8. Inpainting and denoising of fingerprint images using a nonlocal partial differential equation with a fidelity term (20250407) Soobin Kwak, Yibao Li, Junseok Kim, submitted, Computer Vision and Image Understanding, 2025.
9. A space-adaptive, unconditionally stable, and maximum bound preserving scheme for the 3D Allen–Cahn equation (20251230) Soobin Kwak, Junseok Kim, submitted, ​​Journal​ ​of​ ​Engineering​ ​Mathematics, 2026.
10. Computational​ ​analysis​ ​of​ ​the​ ​dynamic​ ​properties​ ​of​ ​normalized​ ​time-fractional​ derivatives (20250815​)  Yunjae Nam, Soobin Kwak, Junseok Kim, submitted, Computer Physics Communications, 2025.
11. A normalized time-fractional Landau–Lifshitz equation (20251231) Soobin Kwak, Moumni Mohammed, Juho Ma, Xinpei Wu, Junseok Kim, submitted, Computational​ ​and​ ​Applied​ ​Mathematics, 2026.
12. A normalized Caputo-Fabrizio fractional diffusion equation with decreasing weighting functions (20260113)  Binhu Xia, Fatao Chen, Kun Wang, Yunjae Nam, Junseok Kim, submitted, Journal of Computational Science, 2026.
13. Structure-guided mesh denoising method by reaction-diffusion equation (20250829), Jian Wang, Yanshan Wang, Ziwei Han, Junseok Kim, submitted, Computational Visual Media, 2026.
14. The Fourier-spectral method for solving the normalized time-fractional Swift–Hohenberg model (20260113) Ke Zhang, Zhengang Li, Xinpei Wu, Seungjae Lee, Soobin Kwak, Junseok Kim, submitted, Numerical Methods for Partial Differential Equations, 2026.
15. Efficient​ ​Numerical​ ​Methods​ ​for​ ​Multi-term​ ​Normalized​ ​Time-Fractional​ ​Diffusion​ ​Equations (20260115​) Yongho Choi, R​ ​Poovarasan, Junseok Kim, submitted, Computational​ ​and​ ​Applied​ ​Mathematics, 2026.
16. Simulation​ ​of​ ​the​ ​zebra​ ​pattern​ ​formation​ ​with​ ​nonuniform​ ​strip​ ​widths​ ​on​ ​a​ ​3D​ ​model (20251112) Binhu Xia, Seokjun Ham, Youngjin Hwang, Junseok Kim, submitted, The​ ​European​ ​Physical​ ​Journal​ ​Plus, 2026.
17. ​Isotropic discretization of a mathematical model for dendritic growth without artificial curvature (20251218, MSMSE-108709) Seokjun Ham, Soobin Kwak, Xinpei Wu, Meiyun Nan, Junseok Kim, submitted, Modelling and Simulation in Materials Science and Engineering, 2026.
18. Modified Allen–Cahn equation for curvature-dependent tissue growth on three-dimensional surfaces (20250811) Soobin Kwak, Yunjae Nam, Jyoti, Juho Ma, and Junseok Kim, Engineering​ ​with​ ​Computers, 2026.
19. The normalized time-fractional phase-field crystal equation (20251217) Seungjae Lee, Ke Zhang, Yongho Choi, Soobin Kwak, Junseok Kim, submitted, Fractional​ ​Calculus​ ​and​ ​Applied​ ​Analysis, 2026.

Mathematics in Engineering

Please find attached the PDF file with responses to the reviewer’ comments.

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This work was supported by the National Research Foundation of Korea(NRF) grant funded by the Korea government(MSIT) (No. 한국연구재단에서 부여한 과제 관리번호). ※ MSIT: Ministry of Science and ICT

This work was supported by the National Research Foundation(NRF), Korea, under project BK21 FOUR.

Jian Wang is supported by National Natural Science Foundation of China (No. 12501531).

The corresponding author (J.S. Kim) was supported by Korea University Grant
K2504591.